Answer:
5
Step-by-step explanation:
25, 45, 85, 245, 285
3 digit numbers must start with 2 as anything else would be more than 300
All numbers must end with 5 as that is the only odd number.
Answer:
dim L = dim U = 
Step-by-step explanation:
We can do it only for the lower-triangular matrices, the case of the upper-triangular matrices is similar. We might caracterice nxn the lower-triangular matrices, as the nxn matrices
such that the entry
if i<j.
Now let
and
be two lower triangular matrices, now if
for some 
then the entry
of C is equal to

Now, if i<j, it must hold that
. Therefore, if this is the case we must have that
and so we get that C is also a lower triangular matrix. This showa that L is closed under sum and scalar multiplcation, hence it is a linear subspace.
To find the dimension, note that all the entries of a lower-triangular matrix over the diagonal must be equal to zero. However, each entry of the matrix under the diagonal and in the diagonal might be any element of
, any entry that can be choosen add up to the dimension of L, we n such elemnts for the first column, (n-1) for the second column, (n-2) for the third column etc.... Therefore,

Answer:
No.
Step-by-step explanation:
To add the bushes and trees, to get 19 bushes and 6 trees, but this wouldn't get me anywhere, because I don't have subtotals for the bushes and trees.
So I'll pick variables (b for the number of bushes and t for the number of trees) and set up a system of equations:
first order: 13b + 4t = 487
second order: 6b + 2t = 232
Multiplying the second row by –2, I get:
13b + 4t = 487
–12b – 4t = –464
This says that b = 23.
Back-solving, I get that t = 47.
Of course, the exercise didn't ask for the values of the two variables. Translating back into English, the solution is,
each bush is $23 and each tree is $47.
To learn more about the variable visits:
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Answer: a
Step-by-step explanation:
2x=2
x=
==> Period:
==> a